7871968 has 48 divisors (see below), whose sum is σ = 16934400. Its totient is φ = 3580416.

The previous prime is 7871953. The next prime is 7871971. The reversal of 7871968 is 8691787.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 52758 + ... + 52906.

It is an arithmetic number, because the mean of its divisors is an integer number (352800).

Almost surely, 2^7871968 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7871968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8467200).

7871968 is an abundant number, since it is smaller than the sum of its proper divisors (9062432).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

7871968 is a wasteful number, since it uses less digits than its factorization.

7871968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 299 (or 291 counting only the distinct ones).

The product of its digits is 169344, while the sum is 46.

The square root of 7871968 is about 2805.7027640147. The cubic root of 7871968 is about 198.9273237808.

It can be divided in two parts, 78719 and 68, that added together give a palindrome (78787).

The spelling of 7871968 in words is "seven million, eight hundred seventy-one thousand, nine hundred sixty-eight".